25968355536480 has 1536 divisors, whose sum is σ = 100001018880000. Its totient is φ = 5657444352000.

The previous prime is 25968355536427. The next prime is 25968355536503. The reversal of 25968355536480 is 8463555386952.

It is a super-2 number, since 2×25968355536480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74407895346 + ... + 74407895694.

It is an arithmetic number, because the mean of its divisors is an integer number (65104830000).

Almost surely, 2^{25968355536480} is an apocalyptic number.

25968355536480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25968355536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50000509440000).

25968355536480 is an abundant number, since it is smaller than the sum of its proper divisors (74032663343520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25968355536480 is a wasteful number, since it uses less digits than its factorization.

25968355536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 69.

The spelling of 25968355536480 in words is "twenty-five trillion, nine hundred sixty-eight billion, three hundred fifty-five million, five hundred thirty-six thousand, four hundred eighty".